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A certain car's cooling system has an 8-qt capacity and is filled with a mixture that is 30% alcohol. How much of this mixture must be drained off and replaced with pure alcohol if the solution is to be 50% alcohol?

  • algebra -

    the amount of alcohol in the parts must add up to the whole. So,

    .3 * (8-x) + 1.0 * x = .5*8
    x = 16/7

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